three metal cubes of side 3cm , 4cm are melted to form larger cube find volume , total surface area and edge length of new cube formed
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Answer:
Volume of resulting metal cube = Volume of metal cube 1+ Volume of metal cube 2+ Volume of metal cube 3
Volume of a cube =a
3
Let side of the resulting cube be A.
So,
A³ =3³+4³+5³
A³=27+64+125
A³=216
=>A=6
Hence, length of side of the resulting metal cube is 6cm.
Total surface area of a cube =6a
2
=6×6
2
=216cm
2
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